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Finding the Fourth Proportional to 7,588, 11,381.96 and 2,393.80

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Solution

The fourth proportional to 7,588, 11,381.96 and 2,393.80 is: 3,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588 : 11,381.96 = 2,393.80 : x
  2. Step 2: Convert to fraction form
    7,588/11,381.96 = 2,393.80/x
  3. Step 3: Cross multiply
    7,588x = 11,381.96 × 2,393.80
  4. Step 4: Simplify right side
    7,588x = 27,246,135.85
  5. Step 5: Solve for x
    x = 27,246,135.85/7,588
  6. Step 6: Final answer
    x = 3,590.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.